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The Stable Perturbation of the Drazin Inverse of the Square Matrices

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Outgoing claims: the papers this work cites, builds on, or argues with.

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AMLI preconditioner for the p ‐version of the FEM
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On optimal condition numbers for Markov chains
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Orthogonal polynomials and semi-iterative methods for the Drazin-inverse solution of singular linear systems
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Continuity properties of the Drazin pseudoinverse
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An algorithm to check the nonnegativity of singular systems
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On the perturbation of the group generalized inverse for a class of bounded operators in Banach spaces
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The perturbation theory for the Drazin inverse and its applications
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Perturbation bound of the Drazin inverse
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Error bounds for a general perturbation of the Drazin inverse
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On the perturbation of the group inverse and oblique projection
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The Drazin inverse of updating of a square matrix with application to perturbation formula
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A generalized Drazin inverse
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Stable perturbation in Banach algebras
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Iterative and Semi-Iterative Methods for Computing Stationary Probability Vectors of Markov Operators
inferredcites →https://doi.org/10.1137/0133001openalex-snapshot
The Index and the Drazin Inverse of Block Triangular Matrices
inferredcites →https://doi.org/10.1137/0601031openalex-snapshot
The Condition of a Finite Markov Chain and Perturbation Bounds for the Limiting Probabilities
inferredcites →https://doi.org/10.1137/060653366openalex-snapshot
Characterizations of a Class of Matrices and Perturbation of the Drazin Inverse
inferredcites →https://doi.org/10.1137/1017044openalex-snapshot
The Role of the Group Generalized Inverse in the Theory of Finite Markov Chains
inferredcites →https://doi.org/10.1137/s0895479803435968openalex-snapshot
Drazin Inverse and Periodic Collection of Matrices
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A Perturbation Bound of the Drazin Inverse of a Matrix by Separation of Simple Invariant Subspaces
inferredcites →https://doi.org/10.1137/s0895479892237562openalex-snapshot
Uniform Stability of Markov Chains

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Additive Results for the Drazin Inverse
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Perturbation Analysis of the Moore-Penrose Inverse and the Weighted Moore-Penrose Inverse
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Perturbation Analysis of the Drazin Inverse and the Group Inverse
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Acute perturbation of Drazin inverse and oblique projectors
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Perturbation Bounds for the Group Inverse and its Oblique Projection
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The Drazin inverse of the sum of two matrices and its applications
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New additive results for the generalized Drazin inverse
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Additive results for the Wg–Drazin inverse
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Representations for the Drazin inverse of 2×2 block-operator matrix with singular Schur complement
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Explicit characterization of the Drazin index
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Perturbation and expression for inner inverses in Banach spaces and its applications
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Some block matrices with signed Drazin inverses
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A note on the formulas for the Drazin inverse of the sum of two matrices
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Representations for the group inverse of anti-triangular block operator matrices
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Acute perturbation of the group inverse
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The Frobenius distances from projections to an idempotent matrix
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The perturbation of the Drazin inverse
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A Note on Perturbation Estimations for Spectral Projectors
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Acute and Stable Perturbations of the Drazin Inverse of Bounded Linear Operators in Banach Spaces
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Perturbation Analysis for Oblique Projection Generalized Inverses
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A note on additive results for the Drazin inverse
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Some results on the Drazin inverse of anti-triangular matrices
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General exact solutions of the second-order homogeneous algebraic differential equations
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An algorithm to study the nonnegativity, regularity and stability via state-feedbacks of singular systems of arbitrary index
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Continuity of the core-EP inverse and its applications
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The core-EP inverse: a numerical approach for its acute perturbation
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On Stable Perturbations of the Generalized Drazin Inverses of Closed Linear Operators in Banach Spaces
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Perturbation Bound of the Group Inverse and the Generalized Schur Complement in Banach Algebra
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Some Results for the Drazin Inverses of the Sum of Two Matrices and Some Block Matrices
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Minimal Solution of Singular LR Fuzzy Linear Systems
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Perturbation Bound for the Drazin Inverse of the Matrix-Value Function
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Complex Neural Network Models for Time-Varying Drazin Inverse
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Generalized Inverses of Matrices
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On the perturbation of outer inverses of linear operators in Banach spaces
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Perturbation of the generalized Drazin inverse
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An extension of the perturbation analysis for the Drazin inverse
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THE DRAZIN INVERSES OF THE SUM OF TWO MATRICES AND BLOCK MATRIX
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Stable perturbations of matrices over rings with respect to pseudo core inverses
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The perturbation of the group inverse under the stable perturbation in a unital ring
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Two methods for computing the Drazin inverse through elementary row operations
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Perturbation bound for the generalized Drazin inverse of an operator in Banach space
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